g0301_0400.s0327_count_of_range_sum.Solution Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0301_0400.s0327_count_of_range_sum;
// #Hard #Array #Binary_Search #Ordered_Set #Divide_and_Conquer #Segment_Tree #Binary_Indexed_Tree
// #Merge_Sort #2022_07_09_Time_111_ms_(66.02%)_Space_134_MB_(22.66%)
public class Solution {
public int countRangeSum(int[] nums, int lower, int upper) {
int n = nums.length;
long[] sums = new long[n + 1];
for (int i = 0; i < n; i++) {
sums[i + 1] = sums[i] + nums[i];
}
return countWhileMergeSort(sums, 0, n + 1, lower, upper);
}
private int countWhileMergeSort(long[] sums, int start, int end, int lower, int upper) {
if (end - start <= 1) {
return 0;
}
int mid = (start + end) / 2;
int count =
countWhileMergeSort(sums, start, mid, lower, upper)
+ countWhileMergeSort(sums, mid, end, lower, upper);
int j = mid;
int k = mid;
int t = mid;
long[] cache = new long[end - start];
int r = 0;
for (int i = start; i < mid; i++) {
while (k < end && sums[k] - sums[i] < lower) {
k++;
}
while (j < end && sums[j] - sums[i] <= upper) {
j++;
}
while (t < end && sums[t] < sums[i]) {
cache[r++] = sums[t++];
}
cache[r] = sums[i];
count += j - k;
r++;
}
System.arraycopy(cache, 0, sums, start, t - start);
return count;
}
}